GCF and LCM Calculator Logo

What is the Least Common Multiple of 54074 and 54093?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 54074 and 54093 is 153948678.

LCM(54074,54093) = 153948678

LCM Calculator and
and

Least Common Multiple of 54074 and 54093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54074 and 54093, than apply into the LCM equation.

GCF(54074,54093) = 19
LCM(54074,54093) = ( 54074 × 54093) / 19
LCM(54074,54093) = 2925024882 / 19
LCM(54074,54093) = 153948678

Least Common Multiple (LCM) of 54074 and 54093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54074 and 54093. First we will calculate the prime factors of 54074 and 54093.

Prime Factorization of 54074

Prime factors of 54074 are 2, 19, 1423. Prime factorization of 54074 in exponential form is:

54074 = 21 × 191 × 14231

Prime Factorization of 54093

Prime factors of 54093 are 3, 13, 19, 73. Prime factorization of 54093 in exponential form is:

54093 = 31 × 131 × 191 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 54074 and 54093.

LCM(54074,54093) = 21 × 191 × 14231 × 31 × 131 × 731
LCM(54074,54093) = 153948678